\chapter{Results}

\graphicspath{Chapter4/Chapter4Figs/}

The above mentioned approaches were applied on data on various Wikipedia Articles. Here we present the results for two of it - ‘George Bush’ and 'United States of America'. The graphs plotted between the value of page and number of users for \textit{George Bush} are shown in Fig 1 to Fig 6 and those for USA are shown in Fig 7 to Fig 12 respectively.\\
Fig 1 shows a comparison between the output of three approaches. The relative linearity in the trivial approach represents it’s drawback. The Age approach represents the relationship to a great extent by including peer-review in the approach. The best relationship is shown by the Frequency-age approach, which combines the factors of importance(frequency) and peer-review(age). \\
The graphs in Fig2, Fig3 and Fig4 help us identify the nature of growth of knowledge. Using the Frequency-Age based approach (Fig 4), we can see that the relationship between knowledge units in the revision and number of contrbutor lies between the plots for $f(x) = x^{2}$ and $f(x) = x^{3}$ . Thus this relationship is of the order $(O(n^{3}))$. The growth in this knowledge corresponds to the slope of this relationship,  which comes out to be $(O(n^{2}))$ relating to the $^{n}C_{2}$ interactions between the n users. This verifies our hypothesis.


\begin{figure}
\centering
%\epsfig{file=fly.eps, height=1in, width=1in}
\includegraphics[height=3in,width=4in]{US_Trivial_Approach.png}  
\caption{Fig 7.Trivial Approach (United States)  }
\end{figure}

\begin{figure}
\centering
%\epsfig{file=fly.eps, height=1in, width=1in}
\includegraphics[height=3in,width=4in]{US_Age-Approach.png }  
\caption{sadda pehla plot.}
\end{figure}


\begin{figure}
\centering
%\epsfig{file=fly.eps, height=1in, width=1in}
\includegraphics[height=3in,width=4in]{US_Trivial_Approach.png}  
\caption{sadda pehla plot.}
\end{figure}


          US_Root-Age Approach.png
US_Age-Freq Approach.png      US_RootFreq Approach.png
US_Average-Age Approach.png   
US_Average-Freq Approach.png

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